What is the Least Common Multiple of 63405 and 63416?

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 63405 and 63416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63405 and 63416, than apply into the LCM equation.

GCF(63405,63416) = 1
LCM(63405,63416) = ( 63405 × 63416) / 1
LCM(63405,63416) = 4020891480 / 1
LCM(63405,63416) = 4020891480

Least Common Multiple (LCM) of 63405 and 63416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63405 and 63416. First we will calculate the prime factors of 63405 and 63416.

Prime Factorization of 63405

Prime Factorization of 63416

Now multiplying the highest exponent prime factors to calculate the LCM of 63405 and 63416.

LCM(63405,63416) = 3² × 5¹ × 1409¹ × 2³ × 7927¹
LCM(63405,63416) = 4020891480