What is the Least Common Multiple of 94549 and 94562?

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 94549 and 94562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94549 and 94562, than apply into the LCM equation.

GCF(94549,94562) = 13
LCM(94549,94562) = ( 94549 × 94562) / 13
LCM(94549,94562) = 8940742538 / 13
LCM(94549,94562) = 687749426

Least Common Multiple (LCM) of 94549 and 94562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94549 and 94562. First we will calculate the prime factors of 94549 and 94562.

Prime Factorization of 94549

Prime Factorization of 94562

Now multiplying the highest exponent prime factors to calculate the LCM of 94549 and 94562.

LCM(94549,94562) = 7¹ × 13¹ × 1039¹ × 2¹ × 3637¹
LCM(94549,94562) = 687749426