What is the Least Common Multiple of 90368 and 90376?

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 90368 and 90376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90368 and 90376, than apply into the LCM equation.

GCF(90368,90376) = 8
LCM(90368,90376) = ( 90368 × 90376) / 8
LCM(90368,90376) = 8167098368 / 8
LCM(90368,90376) = 1020887296

Least Common Multiple (LCM) of 90368 and 90376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90368 and 90376. First we will calculate the prime factors of 90368 and 90376.

Prime Factorization of 90368

Prime Factorization of 90376

Now multiplying the highest exponent prime factors to calculate the LCM of 90368 and 90376.

LCM(90368,90376) = 2⁸ × 353¹ × 11¹ × 13¹ × 79¹
LCM(90368,90376) = 1020887296