What is the Least Common Multiple of 63942 and 63960?

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 63942 and 63960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63942 and 63960, than apply into the LCM equation.

GCF(63942,63960) = 6
LCM(63942,63960) = ( 63942 × 63960) / 6
LCM(63942,63960) = 4089730320 / 6
LCM(63942,63960) = 681621720

Least Common Multiple (LCM) of 63942 and 63960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63942 and 63960. First we will calculate the prime factors of 63942 and 63960.

Prime Factorization of 63942

Prime Factorization of 63960

Now multiplying the highest exponent prime factors to calculate the LCM of 63942 and 63960.

LCM(63942,63960) = 2³ × 3¹ × 10657¹ × 5¹ × 13¹ × 41¹
LCM(63942,63960) = 681621720