What is the Least Common Multiple of 37480 and 37496?

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 37480 and 37496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37480 and 37496, than apply into the LCM equation.

GCF(37480,37496) = 8
LCM(37480,37496) = ( 37480 × 37496) / 8
LCM(37480,37496) = 1405350080 / 8
LCM(37480,37496) = 175668760

Least Common Multiple (LCM) of 37480 and 37496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37480 and 37496. First we will calculate the prime factors of 37480 and 37496.

Prime Factorization of 37480

Prime Factorization of 37496

Now multiplying the highest exponent prime factors to calculate the LCM of 37480 and 37496.

LCM(37480,37496) = 2³ × 5¹ × 937¹ × 43¹ × 109¹
LCM(37480,37496) = 175668760