What is the Least Common Multiple of 60879 and 60892?

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 60879 and 60892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60879 and 60892, than apply into the LCM equation.

GCF(60879,60892) = 13
LCM(60879,60892) = ( 60879 × 60892) / 13
LCM(60879,60892) = 3707044068 / 13
LCM(60879,60892) = 285157236

Least Common Multiple (LCM) of 60879 and 60892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60879 and 60892. First we will calculate the prime factors of 60879 and 60892.

Prime Factorization of 60879

Prime Factorization of 60892

Now multiplying the highest exponent prime factors to calculate the LCM of 60879 and 60892.

LCM(60879,60892) = 3¹ × 7¹ × 13¹ × 223¹ × 2² × 1171¹
LCM(60879,60892) = 285157236