What is the Least Common Multiple of 90294 and 90314?

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 90294 and 90314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90294 and 90314, than apply into the LCM equation.

GCF(90294,90314) = 2
LCM(90294,90314) = ( 90294 × 90314) / 2
LCM(90294,90314) = 8154812316 / 2
LCM(90294,90314) = 4077406158

Least Common Multiple (LCM) of 90294 and 90314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90294 and 90314. First we will calculate the prime factors of 90294 and 90314.

Prime Factorization of 90294

Prime Factorization of 90314

Now multiplying the highest exponent prime factors to calculate the LCM of 90294 and 90314.

LCM(90294,90314) = 2¹ × 3¹ × 101¹ × 149¹ × 7¹ × 6451¹
LCM(90294,90314) = 4077406158