What is the Least Common Multiple of 59860 and 59868?

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 59860 and 59868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59860 and 59868, than apply into the LCM equation.

GCF(59860,59868) = 4
LCM(59860,59868) = ( 59860 × 59868) / 4
LCM(59860,59868) = 3583698480 / 4
LCM(59860,59868) = 895924620

Least Common Multiple (LCM) of 59860 and 59868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59860 and 59868. First we will calculate the prime factors of 59860 and 59868.

Prime Factorization of 59860

Prime Factorization of 59868

Now multiplying the highest exponent prime factors to calculate the LCM of 59860 and 59868.

LCM(59860,59868) = 2² × 5¹ × 41¹ × 73¹ × 3² × 1663¹
LCM(59860,59868) = 895924620