What is the Least Common Multiple of 32900 and 32907?

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 32900 and 32907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32900 and 32907, than apply into the LCM equation.

GCF(32900,32907) = 7
LCM(32900,32907) = ( 32900 × 32907) / 7
LCM(32900,32907) = 1082640300 / 7
LCM(32900,32907) = 154662900

Least Common Multiple (LCM) of 32900 and 32907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32900 and 32907. First we will calculate the prime factors of 32900 and 32907.

Prime Factorization of 32900

Prime Factorization of 32907

Now multiplying the highest exponent prime factors to calculate the LCM of 32900 and 32907.

LCM(32900,32907) = 2² × 5² × 7¹ × 47¹ × 3¹ × 1567¹
LCM(32900,32907) = 154662900