What is the Least Common Multiple of 63612 and 63630?

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 63612 and 63630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63612 and 63630, than apply into the LCM equation.

GCF(63612,63630) = 18
LCM(63612,63630) = ( 63612 × 63630) / 18
LCM(63612,63630) = 4047631560 / 18
LCM(63612,63630) = 224868420

Least Common Multiple (LCM) of 63612 and 63630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63612 and 63630. First we will calculate the prime factors of 63612 and 63630.

Prime Factorization of 63612

Prime Factorization of 63630

Now multiplying the highest exponent prime factors to calculate the LCM of 63612 and 63630.

LCM(63612,63630) = 2² × 3³ × 19¹ × 31¹ × 5¹ × 7¹ × 101¹
LCM(63612,63630) = 224868420