What is the Least Common Multiple of 63414 and 63420?

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 63414 and 63420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63414 and 63420, than apply into the LCM equation.

GCF(63414,63420) = 6
LCM(63414,63420) = ( 63414 × 63420) / 6
LCM(63414,63420) = 4021715880 / 6
LCM(63414,63420) = 670285980

Least Common Multiple (LCM) of 63414 and 63420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63414 and 63420. First we will calculate the prime factors of 63414 and 63420.

Prime Factorization of 63414

Prime Factorization of 63420

Now multiplying the highest exponent prime factors to calculate the LCM of 63414 and 63420.

LCM(63414,63420) = 2² × 3² × 13¹ × 271¹ × 5¹ × 7¹ × 151¹
LCM(63414,63420) = 670285980