What is the Least Common Multiple of 62064 and 62070?

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 62064 and 62070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62064 and 62070, than apply into the LCM equation.

GCF(62064,62070) = 6
LCM(62064,62070) = ( 62064 × 62070) / 6
LCM(62064,62070) = 3852312480 / 6
LCM(62064,62070) = 642052080

Least Common Multiple (LCM) of 62064 and 62070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62064 and 62070. First we will calculate the prime factors of 62064 and 62070.

Prime Factorization of 62064

Prime Factorization of 62070

Now multiplying the highest exponent prime factors to calculate the LCM of 62064 and 62070.

LCM(62064,62070) = 2⁴ × 3² × 431¹ × 5¹ × 2069¹
LCM(62064,62070) = 642052080