What is the Least Common Multiple of 67632 and 67647?

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 67632 and 67647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67632 and 67647, than apply into the LCM equation.

GCF(67632,67647) = 3
LCM(67632,67647) = ( 67632 × 67647) / 3
LCM(67632,67647) = 4575101904 / 3
LCM(67632,67647) = 1525033968

Least Common Multiple (LCM) of 67632 and 67647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67632 and 67647. First we will calculate the prime factors of 67632 and 67647.

Prime Factorization of 67632

Prime Factorization of 67647

Now multiplying the highest exponent prime factors to calculate the LCM of 67632 and 67647.

LCM(67632,67647) = 2⁴ × 3¹ × 1409¹ × 22549¹
LCM(67632,67647) = 1525033968