What is the Least Common Multiple of 59780 and 59800?

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 59780 and 59800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59780 and 59800, than apply into the LCM equation.

GCF(59780,59800) = 20
LCM(59780,59800) = ( 59780 × 59800) / 20
LCM(59780,59800) = 3574844000 / 20
LCM(59780,59800) = 178742200

Least Common Multiple (LCM) of 59780 and 59800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59780 and 59800. First we will calculate the prime factors of 59780 and 59800.

Prime Factorization of 59780

Prime Factorization of 59800

Now multiplying the highest exponent prime factors to calculate the LCM of 59780 and 59800.

LCM(59780,59800) = 2³ × 5² × 7² × 61¹ × 13¹ × 23¹
LCM(59780,59800) = 178742200