What is the Least Common Multiple of 37102 and 37114?

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 37102 and 37114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37102 and 37114, than apply into the LCM equation.

GCF(37102,37114) = 2
LCM(37102,37114) = ( 37102 × 37114) / 2
LCM(37102,37114) = 1377003628 / 2
LCM(37102,37114) = 688501814

Least Common Multiple (LCM) of 37102 and 37114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37102 and 37114. First we will calculate the prime factors of 37102 and 37114.

Prime Factorization of 37102

Prime Factorization of 37114

Now multiplying the highest exponent prime factors to calculate the LCM of 37102 and 37114.

LCM(37102,37114) = 2¹ × 13¹ × 1427¹ × 7¹ × 11¹ × 241¹
LCM(37102,37114) = 688501814