What is the Least Common Multiple of 38974 and 38991?

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 38974 and 38991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38974 and 38991, than apply into the LCM equation.

GCF(38974,38991) = 1
LCM(38974,38991) = ( 38974 × 38991) / 1
LCM(38974,38991) = 1519635234 / 1
LCM(38974,38991) = 1519635234

Least Common Multiple (LCM) of 38974 and 38991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38974 and 38991. First we will calculate the prime factors of 38974 and 38991.

Prime Factorization of 38974

Prime Factorization of 38991

Now multiplying the highest exponent prime factors to calculate the LCM of 38974 and 38991.

LCM(38974,38991) = 2¹ × 13¹ × 1499¹ × 3¹ × 41¹ × 317¹
LCM(38974,38991) = 1519635234