What is the Least Common Multiple of 66432 and 66450?

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 66432 and 66450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66432 and 66450, than apply into the LCM equation.

GCF(66432,66450) = 6
LCM(66432,66450) = ( 66432 × 66450) / 6
LCM(66432,66450) = 4414406400 / 6
LCM(66432,66450) = 735734400

Least Common Multiple (LCM) of 66432 and 66450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66432 and 66450. First we will calculate the prime factors of 66432 and 66450.

Prime Factorization of 66432

Prime Factorization of 66450

Now multiplying the highest exponent prime factors to calculate the LCM of 66432 and 66450.

LCM(66432,66450) = 2⁷ × 3¹ × 173¹ × 5² × 443¹
LCM(66432,66450) = 735734400