What is the Least Common Multiple of 62160 and 62174?

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 62160 and 62174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62160 and 62174, than apply into the LCM equation.

GCF(62160,62174) = 14
LCM(62160,62174) = ( 62160 × 62174) / 14
LCM(62160,62174) = 3864735840 / 14
LCM(62160,62174) = 276052560

Least Common Multiple (LCM) of 62160 and 62174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62160 and 62174. First we will calculate the prime factors of 62160 and 62174.

Prime Factorization of 62160

Prime Factorization of 62174

Now multiplying the highest exponent prime factors to calculate the LCM of 62160 and 62174.

LCM(62160,62174) = 2⁴ × 3¹ × 5¹ × 7¹ × 37¹ × 4441¹
LCM(62160,62174) = 276052560