What is the Least Common Multiple of 38961 and 38977?

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 38961 and 38977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38961 and 38977, than apply into the LCM equation.

GCF(38961,38977) = 1
LCM(38961,38977) = ( 38961 × 38977) / 1
LCM(38961,38977) = 1518582897 / 1
LCM(38961,38977) = 1518582897

Least Common Multiple (LCM) of 38961 and 38977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38961 and 38977. First we will calculate the prime factors of 38961 and 38977.

Prime Factorization of 38961

Prime Factorization of 38977

Now multiplying the highest exponent prime factors to calculate the LCM of 38961 and 38977.

LCM(38961,38977) = 3⁴ × 13¹ × 37¹ × 38977¹
LCM(38961,38977) = 1518582897