What is the Least Common Multiple of 90754 and 90774?

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 90754 and 90774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90754 and 90774, than apply into the LCM equation.

GCF(90754,90774) = 2
LCM(90754,90774) = ( 90754 × 90774) / 2
LCM(90754,90774) = 8238103596 / 2
LCM(90754,90774) = 4119051798

Least Common Multiple (LCM) of 90754 and 90774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90754 and 90774. First we will calculate the prime factors of 90754 and 90774.

Prime Factorization of 90754

Prime Factorization of 90774

Now multiplying the highest exponent prime factors to calculate the LCM of 90754 and 90774.

LCM(90754,90774) = 2¹ × 45377¹ × 3³ × 41²
LCM(90754,90774) = 4119051798