What is the Least Common Multiple of 63960 and 63974?

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 63960 and 63974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63960 and 63974, than apply into the LCM equation.

GCF(63960,63974) = 2
LCM(63960,63974) = ( 63960 × 63974) / 2
LCM(63960,63974) = 4091777040 / 2
LCM(63960,63974) = 2045888520

Least Common Multiple (LCM) of 63960 and 63974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63960 and 63974. First we will calculate the prime factors of 63960 and 63974.

Prime Factorization of 63960

Prime Factorization of 63974

Now multiplying the highest exponent prime factors to calculate the LCM of 63960 and 63974.

LCM(63960,63974) = 2³ × 3¹ × 5¹ × 13¹ × 41¹ × 29¹ × 1103¹
LCM(63960,63974) = 2045888520