What is the Least Common Multiple of 4938 and 4958?
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 4938 and 4958 is 12241302.
LCM(4938,4958) = 12241302
Least Common Multiple of 4938 and 4958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4938 and 4958, than apply into the LCM equation.
GCF(4938,4958) = 2
LCM(4938,4958) = ( 4938 × 4958) / 2
LCM(4938,4958) = 24482604 / 2
LCM(4938,4958) = 12241302
Least Common Multiple (LCM) of 4938 and 4958 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4938 and 4958. First we will calculate the prime factors of 4938 and 4958.
Prime Factorization of 4938
Prime factors of 4938 are 2, 3, 823. Prime factorization of 4938 in exponential form is:
4938 = 21 × 31 × 8231
Prime Factorization of 4958
Prime factors of 4958 are 2, 37, 67. Prime factorization of 4958 in exponential form is:
4958 = 21 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 4938 and 4958.
LCM(4938,4958) = 21 × 31 × 8231 × 371 × 671
LCM(4938,4958) = 12241302
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