What is the Least Common Multiple of 38946 and 38961?

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 38946 and 38961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38946 and 38961, than apply into the LCM equation.

GCF(38946,38961) = 3
LCM(38946,38961) = ( 38946 × 38961) / 3
LCM(38946,38961) = 1517375106 / 3
LCM(38946,38961) = 505791702

Least Common Multiple (LCM) of 38946 and 38961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38946 and 38961. First we will calculate the prime factors of 38946 and 38961.

Prime Factorization of 38946

Prime Factorization of 38961

Now multiplying the highest exponent prime factors to calculate the LCM of 38946 and 38961.

LCM(38946,38961) = 2¹ × 3⁴ × 6491¹ × 13¹ × 37¹
LCM(38946,38961) = 505791702