What is the Least Common Multiple of 62060 and 62075?

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 62060 and 62075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62060 and 62075, than apply into the LCM equation.

GCF(62060,62075) = 5
LCM(62060,62075) = ( 62060 × 62075) / 5
LCM(62060,62075) = 3852374500 / 5
LCM(62060,62075) = 770474900

Least Common Multiple (LCM) of 62060 and 62075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62060 and 62075. First we will calculate the prime factors of 62060 and 62075.

Prime Factorization of 62060

Prime Factorization of 62075

Now multiplying the highest exponent prime factors to calculate the LCM of 62060 and 62075.

LCM(62060,62075) = 2² × 5² × 29¹ × 107¹ × 13¹ × 191¹
LCM(62060,62075) = 770474900