What is the Least Common Multiple of 37478 and 37483?

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 37478 and 37483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37478 and 37483, than apply into the LCM equation.

GCF(37478,37483) = 1
LCM(37478,37483) = ( 37478 × 37483) / 1
LCM(37478,37483) = 1404787874 / 1
LCM(37478,37483) = 1404787874

Least Common Multiple (LCM) of 37478 and 37483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37478 and 37483. First we will calculate the prime factors of 37478 and 37483.

Prime Factorization of 37478

Prime Factorization of 37483

Now multiplying the highest exponent prime factors to calculate the LCM of 37478 and 37483.

LCM(37478,37483) = 2¹ × 7¹ × 2677¹ × 37483¹
LCM(37478,37483) = 1404787874