What is the Least Common Multiple of 94524 and 94540?

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 94524 and 94540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94524 and 94540, than apply into the LCM equation.

GCF(94524,94540) = 4
LCM(94524,94540) = ( 94524 × 94540) / 4
LCM(94524,94540) = 8936298960 / 4
LCM(94524,94540) = 2234074740

Least Common Multiple (LCM) of 94524 and 94540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94524 and 94540. First we will calculate the prime factors of 94524 and 94540.

Prime Factorization of 94524

Prime Factorization of 94540

Now multiplying the highest exponent prime factors to calculate the LCM of 94524 and 94540.

LCM(94524,94540) = 2² × 3¹ × 7877¹ × 5¹ × 29¹ × 163¹
LCM(94524,94540) = 2234074740