What is the Least Common Multiple of 90734 and 90741?

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 90734 and 90741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90734 and 90741, than apply into the LCM equation.

GCF(90734,90741) = 7
LCM(90734,90741) = ( 90734 × 90741) / 7
LCM(90734,90741) = 8233293894 / 7
LCM(90734,90741) = 1176184842

Least Common Multiple (LCM) of 90734 and 90741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90734 and 90741. First we will calculate the prime factors of 90734 and 90741.

Prime Factorization of 90734

Prime Factorization of 90741

Now multiplying the highest exponent prime factors to calculate the LCM of 90734 and 90741.

LCM(90734,90741) = 2¹ × 7¹ × 6481¹ × 3¹ × 29¹ × 149¹
LCM(90734,90741) = 1176184842