What is the Least Common Multiple of 63933 and 63944?

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 63944 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 63944, than apply into the LCM equation.

GCF(63933,63944) = 1
LCM(63933,63944) = ( 63933 × 63944) / 1
LCM(63933,63944) = 4088131752 / 1
LCM(63933,63944) = 4088131752

Least Common Multiple (LCM) of 63933 and 63944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63933 and 63944. First we will calculate the prime factors of 63933 and 63944.

Prime Factorization of 63933

Prime Factorization of 63944

Now multiplying the highest exponent prime factors to calculate the LCM of 63933 and 63944.

LCM(63933,63944) = 3¹ × 101¹ × 211¹ × 2³ × 7993¹
LCM(63933,63944) = 4088131752