What is the Least Common Multiple of 36462 and 36480?

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 36462 and 36480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36462 and 36480, than apply into the LCM equation.

GCF(36462,36480) = 6
LCM(36462,36480) = ( 36462 × 36480) / 6
LCM(36462,36480) = 1330133760 / 6
LCM(36462,36480) = 221688960

Least Common Multiple (LCM) of 36462 and 36480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36462 and 36480. First we will calculate the prime factors of 36462 and 36480.

Prime Factorization of 36462

Prime Factorization of 36480

Now multiplying the highest exponent prime factors to calculate the LCM of 36462 and 36480.

LCM(36462,36480) = 2⁷ × 3¹ × 59¹ × 103¹ × 5¹ × 19¹
LCM(36462,36480) = 221688960