What is the Least Common Multiple of 63954 and 63972?

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 63954 and 63972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63954 and 63972, than apply into the LCM equation.

GCF(63954,63972) = 18
LCM(63954,63972) = ( 63954 × 63972) / 18
LCM(63954,63972) = 4091265288 / 18
LCM(63954,63972) = 227292516

Least Common Multiple (LCM) of 63954 and 63972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63954 and 63972. First we will calculate the prime factors of 63954 and 63972.

Prime Factorization of 63954

Prime Factorization of 63972

Now multiplying the highest exponent prime factors to calculate the LCM of 63954 and 63972.

LCM(63954,63972) = 2² × 3² × 11¹ × 17¹ × 19¹ × 1777¹
LCM(63954,63972) = 227292516