What is the Least Common Multiple of 63780 and 63792?

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 63780 and 63792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63780 and 63792, than apply into the LCM equation.

GCF(63780,63792) = 12
LCM(63780,63792) = ( 63780 × 63792) / 12
LCM(63780,63792) = 4068653760 / 12
LCM(63780,63792) = 339054480

Least Common Multiple (LCM) of 63780 and 63792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63780 and 63792. First we will calculate the prime factors of 63780 and 63792.

Prime Factorization of 63780

Prime Factorization of 63792

Now multiplying the highest exponent prime factors to calculate the LCM of 63780 and 63792.

LCM(63780,63792) = 2⁴ × 3² × 5¹ × 1063¹ × 443¹
LCM(63780,63792) = 339054480