What is the Least Common Multiple of 66432 and 66441?

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 66441 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 66441, than apply into the LCM equation.

GCF(66432,66441) = 3
LCM(66432,66441) = ( 66432 × 66441) / 3
LCM(66432,66441) = 4413808512 / 3
LCM(66432,66441) = 1471269504

Least Common Multiple (LCM) of 66432 and 66441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66432 and 66441. First we will calculate the prime factors of 66432 and 66441.

Prime Factorization of 66432

Prime Factorization of 66441

Now multiplying the highest exponent prime factors to calculate the LCM of 66432 and 66441.

LCM(66432,66441) = 2⁷ × 3¹ × 173¹ × 22147¹
LCM(66432,66441) = 1471269504