What is the Least Common Multiple of 63950 and 63968?

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 63950 and 63968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63950 and 63968, than apply into the LCM equation.

GCF(63950,63968) = 2
LCM(63950,63968) = ( 63950 × 63968) / 2
LCM(63950,63968) = 4090753600 / 2
LCM(63950,63968) = 2045376800

Least Common Multiple (LCM) of 63950 and 63968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63950 and 63968. First we will calculate the prime factors of 63950 and 63968.

Prime Factorization of 63950

Prime Factorization of 63968

Now multiplying the highest exponent prime factors to calculate the LCM of 63950 and 63968.

LCM(63950,63968) = 2⁵ × 5² × 1279¹ × 1999¹
LCM(63950,63968) = 2045376800