What is the Least Common Multiple of 63630 and 63635?

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 63630 and 63635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63630 and 63635, than apply into the LCM equation.

GCF(63630,63635) = 5
LCM(63630,63635) = ( 63630 × 63635) / 5
LCM(63630,63635) = 4049095050 / 5
LCM(63630,63635) = 809819010

Least Common Multiple (LCM) of 63630 and 63635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63630 and 63635. First we will calculate the prime factors of 63630 and 63635.

Prime Factorization of 63630

Prime Factorization of 63635

Now multiplying the highest exponent prime factors to calculate the LCM of 63630 and 63635.

LCM(63630,63635) = 2¹ × 3² × 5¹ × 7¹ × 101¹ × 11¹ × 13¹ × 89¹
LCM(63630,63635) = 809819010