What is the Least Common Multiple of 96234 and 96251?

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 96234 and 96251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96234 and 96251, than apply into the LCM equation.

GCF(96234,96251) = 1
LCM(96234,96251) = ( 96234 × 96251) / 1
LCM(96234,96251) = 9262618734 / 1
LCM(96234,96251) = 9262618734

Least Common Multiple (LCM) of 96234 and 96251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96234 and 96251. First we will calculate the prime factors of 96234 and 96251.

Prime Factorization of 96234

Prime Factorization of 96251

Now multiplying the highest exponent prime factors to calculate the LCM of 96234 and 96251.

LCM(96234,96251) = 2¹ × 3¹ × 43¹ × 373¹ × 29¹ × 3319¹
LCM(96234,96251) = 9262618734