What is the Least Common Multiple of 90738 and 90749?

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 90738 and 90749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90738 and 90749, than apply into the LCM equation.

GCF(90738,90749) = 1
LCM(90738,90749) = ( 90738 × 90749) / 1
LCM(90738,90749) = 8234382762 / 1
LCM(90738,90749) = 8234382762

Least Common Multiple (LCM) of 90738 and 90749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90738 and 90749. First we will calculate the prime factors of 90738 and 90749.

Prime Factorization of 90738

Prime Factorization of 90749

Now multiplying the highest exponent prime factors to calculate the LCM of 90738 and 90749.

LCM(90738,90749) = 2¹ × 3² × 71² × 90749¹
LCM(90738,90749) = 8234382762