What is the Least Common Multiple of 63936 and 63945?

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 63936 and 63945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63936 and 63945, than apply into the LCM equation.

GCF(63936,63945) = 9
LCM(63936,63945) = ( 63936 × 63945) / 9
LCM(63936,63945) = 4088387520 / 9
LCM(63936,63945) = 454265280

Least Common Multiple (LCM) of 63936 and 63945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63936 and 63945. First we will calculate the prime factors of 63936 and 63945.

Prime Factorization of 63936

Prime Factorization of 63945

Now multiplying the highest exponent prime factors to calculate the LCM of 63936 and 63945.

LCM(63936,63945) = 2⁶ × 3³ × 37¹ × 5¹ × 7² × 29¹
LCM(63936,63945) = 454265280