What is the Least Common Multiple of 37456 and 37466?

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 37456 and 37466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37456 and 37466, than apply into the LCM equation.

GCF(37456,37466) = 2
LCM(37456,37466) = ( 37456 × 37466) / 2
LCM(37456,37466) = 1403326496 / 2
LCM(37456,37466) = 701663248

Least Common Multiple (LCM) of 37456 and 37466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37456 and 37466. First we will calculate the prime factors of 37456 and 37466.

Prime Factorization of 37456

Prime Factorization of 37466

Now multiplying the highest exponent prime factors to calculate the LCM of 37456 and 37466.

LCM(37456,37466) = 2⁴ × 2341¹ × 11¹ × 13¹ × 131¹
LCM(37456,37466) = 701663248