What is the Least Common Multiple of 60874 and 60890?

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 60874 and 60890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60874 and 60890, than apply into the LCM equation.

GCF(60874,60890) = 2
LCM(60874,60890) = ( 60874 × 60890) / 2
LCM(60874,60890) = 3706617860 / 2
LCM(60874,60890) = 1853308930

Least Common Multiple (LCM) of 60874 and 60890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60874 and 60890. First we will calculate the prime factors of 60874 and 60890.

Prime Factorization of 60874

Prime Factorization of 60890

Now multiplying the highest exponent prime factors to calculate the LCM of 60874 and 60890.

LCM(60874,60890) = 2¹ × 11¹ × 2767¹ × 5¹ × 6089¹
LCM(60874,60890) = 1853308930