What is the Least Common Multiple of 91975 and 91988?

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 91975 and 91988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91975 and 91988, than apply into the LCM equation.

GCF(91975,91988) = 13
LCM(91975,91988) = ( 91975 × 91988) / 13
LCM(91975,91988) = 8460596300 / 13
LCM(91975,91988) = 650815100

Least Common Multiple (LCM) of 91975 and 91988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91975 and 91988. First we will calculate the prime factors of 91975 and 91988.

Prime Factorization of 91975

Prime Factorization of 91988

Now multiplying the highest exponent prime factors to calculate the LCM of 91975 and 91988.

LCM(91975,91988) = 5² × 13¹ × 283¹ × 2² × 29¹ × 61¹
LCM(91975,91988) = 650815100