What is the Least Common Multiple of 37122 and 37135?

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 37122 and 37135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37122 and 37135, than apply into the LCM equation.

GCF(37122,37135) = 1
LCM(37122,37135) = ( 37122 × 37135) / 1
LCM(37122,37135) = 1378525470 / 1
LCM(37122,37135) = 1378525470

Least Common Multiple (LCM) of 37122 and 37135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37122 and 37135. First we will calculate the prime factors of 37122 and 37135.

Prime Factorization of 37122

Prime Factorization of 37135

Now multiplying the highest exponent prime factors to calculate the LCM of 37122 and 37135.

LCM(37122,37135) = 2¹ × 3¹ × 23¹ × 269¹ × 5¹ × 7¹ × 1061¹
LCM(37122,37135) = 1378525470