What is the Least Common Multiple of 60162 and 60175?

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 60162 and 60175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60162 and 60175, than apply into the LCM equation.

GCF(60162,60175) = 1
LCM(60162,60175) = ( 60162 × 60175) / 1
LCM(60162,60175) = 3620248350 / 1
LCM(60162,60175) = 3620248350

Least Common Multiple (LCM) of 60162 and 60175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60162 and 60175. First we will calculate the prime factors of 60162 and 60175.

Prime Factorization of 60162

Prime Factorization of 60175

Now multiplying the highest exponent prime factors to calculate the LCM of 60162 and 60175.

LCM(60162,60175) = 2¹ × 3¹ × 37¹ × 271¹ × 5² × 29¹ × 83¹
LCM(60162,60175) = 3620248350