What is the Least Common Multiple of 63933 and 63942?

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 63933 and 63942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63933 and 63942, than apply into the LCM equation.

GCF(63933,63942) = 3
LCM(63933,63942) = ( 63933 × 63942) / 3
LCM(63933,63942) = 4088003886 / 3
LCM(63933,63942) = 1362667962

Least Common Multiple (LCM) of 63933 and 63942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63933 and 63942. First we will calculate the prime factors of 63933 and 63942.

Prime Factorization of 63933

Prime Factorization of 63942

Now multiplying the highest exponent prime factors to calculate the LCM of 63933 and 63942.

LCM(63933,63942) = 3¹ × 101¹ × 211¹ × 2¹ × 10657¹
LCM(63933,63942) = 1362667962