What is the Least Common Multiple of 938 and 953?
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 953 is 893914.
LCM(938,953) = 893914
Least Common Multiple of 938 and 953 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 953, than apply into the LCM equation.
GCF(938,953) = 1
LCM(938,953) = ( 938 × 953) / 1
LCM(938,953) = 893914 / 1
LCM(938,953) = 893914
Least Common Multiple (LCM) of 938 and 953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 953. First we will calculate the prime factors of 938 and 953.
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 953
Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:
953 = 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 953.
LCM(938,953) = 21 × 71 × 671 × 9531
LCM(938,953) = 893914
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