What is the Least Common Multiple of 63270 and 63284?

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 63270 and 63284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63270 and 63284, than apply into the LCM equation.

GCF(63270,63284) = 2
LCM(63270,63284) = ( 63270 × 63284) / 2
LCM(63270,63284) = 4003978680 / 2
LCM(63270,63284) = 2001989340

Least Common Multiple (LCM) of 63270 and 63284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63270 and 63284. First we will calculate the prime factors of 63270 and 63284.

Prime Factorization of 63270

Prime Factorization of 63284

Now multiplying the highest exponent prime factors to calculate the LCM of 63270 and 63284.

LCM(63270,63284) = 2² × 3² × 5¹ × 19¹ × 37¹ × 13¹ × 1217¹
LCM(63270,63284) = 2001989340