What is the Least Common Multiple of 63552 and 63570?

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 63552 and 63570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63552 and 63570, than apply into the LCM equation.

GCF(63552,63570) = 6
LCM(63552,63570) = ( 63552 × 63570) / 6
LCM(63552,63570) = 4040000640 / 6
LCM(63552,63570) = 673333440

Least Common Multiple (LCM) of 63552 and 63570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63552 and 63570. First we will calculate the prime factors of 63552 and 63570.

Prime Factorization of 63552

Prime Factorization of 63570

Now multiplying the highest exponent prime factors to calculate the LCM of 63552 and 63570.

LCM(63552,63570) = 2⁶ × 3¹ × 331¹ × 5¹ × 13¹ × 163¹
LCM(63552,63570) = 673333440