What is the Least Common Multiple of 90774 and 90792?

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 90774 and 90792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90774 and 90792, than apply into the LCM equation.

GCF(90774,90792) = 18
LCM(90774,90792) = ( 90774 × 90792) / 18
LCM(90774,90792) = 8241553008 / 18
LCM(90774,90792) = 457864056

Least Common Multiple (LCM) of 90774 and 90792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90774 and 90792. First we will calculate the prime factors of 90774 and 90792.

Prime Factorization of 90774

Prime Factorization of 90792

Now multiplying the highest exponent prime factors to calculate the LCM of 90774 and 90792.

LCM(90774,90792) = 2³ × 3³ × 41² × 13¹ × 97¹
LCM(90774,90792) = 457864056