What is the Least Common Multiple of 938 and 943?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 938 and 943 is 884534.
LCM(938,943) = 884534
Least Common Multiple of 938 and 943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 938 and 943, than apply into the LCM equation.
GCF(938,943) = 1
LCM(938,943) = ( 938 × 943) / 1
LCM(938,943) = 884534 / 1
LCM(938,943) = 884534
Least Common Multiple (LCM) of 938 and 943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 943. First we will calculate the prime factors of 938 and 943.
Prime Factorization of 938
Prime factors of 938 are 2, 7, 67. Prime factorization of 938 in exponential form is:
938 = 21 × 71 × 671
Prime Factorization of 943
Prime factors of 943 are 23, 41. Prime factorization of 943 in exponential form is:
943 = 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 943.
LCM(938,943) = 21 × 71 × 671 × 231 × 411
LCM(938,943) = 884534
Related Least Common Multiples of 938
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Related Least Common Multiples of 943
- LCM of 943 and 947
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- LCM of 943 and 949
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