What is the Least Common Multiple of 63570 and 63588?

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 63570 and 63588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63570 and 63588, than apply into the LCM equation.

GCF(63570,63588) = 6
LCM(63570,63588) = ( 63570 × 63588) / 6
LCM(63570,63588) = 4042289160 / 6
LCM(63570,63588) = 673714860

Least Common Multiple (LCM) of 63570 and 63588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63570 and 63588. First we will calculate the prime factors of 63570 and 63588.

Prime Factorization of 63570

Prime Factorization of 63588

Now multiplying the highest exponent prime factors to calculate the LCM of 63570 and 63588.

LCM(63570,63588) = 2² × 3¹ × 5¹ × 13¹ × 163¹ × 7¹ × 757¹
LCM(63570,63588) = 673714860