What is the Least Common Multiple of 37416 and 37430?

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 37416 and 37430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37416 and 37430, than apply into the LCM equation.

GCF(37416,37430) = 2
LCM(37416,37430) = ( 37416 × 37430) / 2
LCM(37416,37430) = 1400480880 / 2
LCM(37416,37430) = 700240440

Least Common Multiple (LCM) of 37416 and 37430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37416 and 37430. First we will calculate the prime factors of 37416 and 37430.

Prime Factorization of 37416

Prime Factorization of 37430

Now multiplying the highest exponent prime factors to calculate the LCM of 37416 and 37430.

LCM(37416,37430) = 2³ × 3¹ × 1559¹ × 5¹ × 19¹ × 197¹
LCM(37416,37430) = 700240440