What is the Least Common Multiple of 59814 and 59820?

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 59814 and 59820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59814 and 59820, than apply into the LCM equation.

GCF(59814,59820) = 6
LCM(59814,59820) = ( 59814 × 59820) / 6
LCM(59814,59820) = 3578073480 / 6
LCM(59814,59820) = 596345580

Least Common Multiple (LCM) of 59814 and 59820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59814 and 59820. First we will calculate the prime factors of 59814 and 59820.

Prime Factorization of 59814

Prime Factorization of 59820

Now multiplying the highest exponent prime factors to calculate the LCM of 59814 and 59820.

LCM(59814,59820) = 2² × 3² × 3323¹ × 5¹ × 997¹
LCM(59814,59820) = 596345580