What is the Least Common Multiple of 18940 and 18951?

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 18940 and 18951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18940 and 18951, than apply into the LCM equation.

GCF(18940,18951) = 1
LCM(18940,18951) = ( 18940 × 18951) / 1
LCM(18940,18951) = 358931940 / 1
LCM(18940,18951) = 358931940

Least Common Multiple (LCM) of 18940 and 18951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18940 and 18951. First we will calculate the prime factors of 18940 and 18951.

Prime Factorization of 18940

Prime Factorization of 18951

Now multiplying the highest exponent prime factors to calculate the LCM of 18940 and 18951.

LCM(18940,18951) = 2² × 5¹ × 947¹ × 3¹ × 6317¹
LCM(18940,18951) = 358931940