What is the Least Common Multiple of 94540 and 94546?

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 94540 and 94546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94540 and 94546, than apply into the LCM equation.

GCF(94540,94546) = 2
LCM(94540,94546) = ( 94540 × 94546) / 2
LCM(94540,94546) = 8938378840 / 2
LCM(94540,94546) = 4469189420

Least Common Multiple (LCM) of 94540 and 94546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94540 and 94546. First we will calculate the prime factors of 94540 and 94546.

Prime Factorization of 94540

Prime Factorization of 94546

Now multiplying the highest exponent prime factors to calculate the LCM of 94540 and 94546.

LCM(94540,94546) = 2² × 5¹ × 29¹ × 163¹ × 41¹ × 1153¹
LCM(94540,94546) = 4469189420