What is the Least Common Multiple of 63240 and 63252?

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 63240 and 63252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63240 and 63252, than apply into the LCM equation.

GCF(63240,63252) = 12
LCM(63240,63252) = ( 63240 × 63252) / 12
LCM(63240,63252) = 4000056480 / 12
LCM(63240,63252) = 333338040

Least Common Multiple (LCM) of 63240 and 63252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63240 and 63252. First we will calculate the prime factors of 63240 and 63252.

Prime Factorization of 63240

Prime Factorization of 63252

Now multiplying the highest exponent prime factors to calculate the LCM of 63240 and 63252.

LCM(63240,63252) = 2³ × 3² × 5¹ × 17¹ × 31¹ × 7¹ × 251¹
LCM(63240,63252) = 333338040