What is the Least Common Multiple of 60475 and 60494?

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 60475 and 60494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60475 and 60494, than apply into the LCM equation.

GCF(60475,60494) = 1
LCM(60475,60494) = ( 60475 × 60494) / 1
LCM(60475,60494) = 3658374650 / 1
LCM(60475,60494) = 3658374650

Least Common Multiple (LCM) of 60475 and 60494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60475 and 60494. First we will calculate the prime factors of 60475 and 60494.

Prime Factorization of 60475

Prime Factorization of 60494

Now multiplying the highest exponent prime factors to calculate the LCM of 60475 and 60494.

LCM(60475,60494) = 5² × 41¹ × 59¹ × 2¹ × 7¹ × 29¹ × 149¹
LCM(60475,60494) = 3658374650