What is the Least Common Multiple of 63924 and 63930?

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 63924 and 63930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63924 and 63930, than apply into the LCM equation.

GCF(63924,63930) = 6
LCM(63924,63930) = ( 63924 × 63930) / 6
LCM(63924,63930) = 4086661320 / 6
LCM(63924,63930) = 681110220

Least Common Multiple (LCM) of 63924 and 63930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63924 and 63930. First we will calculate the prime factors of 63924 and 63930.

Prime Factorization of 63924

Prime Factorization of 63930

Now multiplying the highest exponent prime factors to calculate the LCM of 63924 and 63930.

LCM(63924,63930) = 2² × 3¹ × 7¹ × 761¹ × 5¹ × 2131¹
LCM(63924,63930) = 681110220