What is the Least Common Multiple of 37954 and 37974?

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 of 37954 and 37974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37954 and 37974, than apply into the LCM equation.

GCF(37954,37974) = 2
LCM(37954,37974) = ( 37954 × 37974) / 2
LCM(37954,37974) = 1441265196 / 2
LCM(37954,37974) = 720632598

Least Common Multiple (LCM) of 37954 and 37974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37954 and 37974. First we will calculate the prime factors of 37954 and 37974.

Prime Factorization of 37954

Prime Factorization of 37974

Now multiplying the highest exponent prime factors to calculate the LCM of 37954 and 37974.

LCM(37954,37974) = 2¹ × 7¹ × 2711¹ × 3¹ × 6329¹
LCM(37954,37974) = 720632598