What is the Least Common Multiple of 92239 and 92246?

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 92239 and 92246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92239 and 92246, than apply into the LCM equation.

GCF(92239,92246) = 7
LCM(92239,92246) = ( 92239 × 92246) / 7
LCM(92239,92246) = 8508678794 / 7
LCM(92239,92246) = 1215525542

Least Common Multiple (LCM) of 92239 and 92246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92239 and 92246. First we will calculate the prime factors of 92239 and 92246.

Prime Factorization of 92239

Prime Factorization of 92246

Now multiplying the highest exponent prime factors to calculate the LCM of 92239 and 92246.

LCM(92239,92246) = 7¹ × 13177¹ × 2¹ × 11¹ × 599¹
LCM(92239,92246) = 1215525542