What is the Least Common Multiple of 91725 and 91730?

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 91725 and 91730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91725 and 91730, than apply into the LCM equation.

GCF(91725,91730) = 5
LCM(91725,91730) = ( 91725 × 91730) / 5
LCM(91725,91730) = 8413934250 / 5
LCM(91725,91730) = 1682786850

Least Common Multiple (LCM) of 91725 and 91730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91725 and 91730. First we will calculate the prime factors of 91725 and 91730.

Prime Factorization of 91725

Prime Factorization of 91730

Now multiplying the highest exponent prime factors to calculate the LCM of 91725 and 91730.

LCM(91725,91730) = 3¹ × 5² × 1223¹ × 2¹ × 9173¹
LCM(91725,91730) = 1682786850