What is the Least Common Multiple of 63053 and 63070?

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 63053 and 63070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63053 and 63070, than apply into the LCM equation.

GCF(63053,63070) = 17
LCM(63053,63070) = ( 63053 × 63070) / 17
LCM(63053,63070) = 3976752710 / 17
LCM(63053,63070) = 233926630

Least Common Multiple (LCM) of 63053 and 63070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63053 and 63070. First we will calculate the prime factors of 63053 and 63070.

Prime Factorization of 63053

Prime Factorization of 63070

Now multiplying the highest exponent prime factors to calculate the LCM of 63053 and 63070.

LCM(63053,63070) = 17¹ × 3709¹ × 2¹ × 5¹ × 7¹ × 53¹
LCM(63053,63070) = 233926630