What is the Least Common Multiple of 59880 and 59890?

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 59880 and 59890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59880 and 59890, than apply into the LCM equation.

GCF(59880,59890) = 10
LCM(59880,59890) = ( 59880 × 59890) / 10
LCM(59880,59890) = 3586213200 / 10
LCM(59880,59890) = 358621320

Least Common Multiple (LCM) of 59880 and 59890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59880 and 59890. First we will calculate the prime factors of 59880 and 59890.

Prime Factorization of 59880

Prime Factorization of 59890

Now multiplying the highest exponent prime factors to calculate the LCM of 59880 and 59890.

LCM(59880,59890) = 2³ × 3¹ × 5¹ × 499¹ × 53¹ × 113¹
LCM(59880,59890) = 358621320