What is the Least Common Multiple of 90538 and 90545?

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 90538 and 90545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90538 and 90545, than apply into the LCM equation.

GCF(90538,90545) = 7
LCM(90538,90545) = ( 90538 × 90545) / 7
LCM(90538,90545) = 8197763210 / 7
LCM(90538,90545) = 1171109030

Least Common Multiple (LCM) of 90538 and 90545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90538 and 90545. First we will calculate the prime factors of 90538 and 90545.

Prime Factorization of 90538

Prime Factorization of 90545

Now multiplying the highest exponent prime factors to calculate the LCM of 90538 and 90545.

LCM(90538,90545) = 2¹ × 7¹ × 29¹ × 223¹ × 5¹ × 13¹ × 199¹
LCM(90538,90545) = 1171109030