What is the Least Common Multiple of 63946 and 63964?

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 63946 and 63964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63946 and 63964, than apply into the LCM equation.

GCF(63946,63964) = 2
LCM(63946,63964) = ( 63946 × 63964) / 2
LCM(63946,63964) = 4090241944 / 2
LCM(63946,63964) = 2045120972

Least Common Multiple (LCM) of 63946 and 63964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63946 and 63964. First we will calculate the prime factors of 63946 and 63964.

Prime Factorization of 63946

Prime Factorization of 63964

Now multiplying the highest exponent prime factors to calculate the LCM of 63946 and 63964.

LCM(63946,63964) = 2² × 31973¹ × 15991¹
LCM(63946,63964) = 2045120972