What is the Least Common Multiple of 90078 and 90096?

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 90078 and 90096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90078 and 90096, than apply into the LCM equation.

GCF(90078,90096) = 6
LCM(90078,90096) = ( 90078 × 90096) / 6
LCM(90078,90096) = 8115667488 / 6
LCM(90078,90096) = 1352611248

Least Common Multiple (LCM) of 90078 and 90096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90078 and 90096. First we will calculate the prime factors of 90078 and 90096.

Prime Factorization of 90078

Prime Factorization of 90096

Now multiplying the highest exponent prime factors to calculate the LCM of 90078 and 90096.

LCM(90078,90096) = 2⁴ × 3¹ × 15013¹ × 1877¹
LCM(90078,90096) = 1352611248