What is the Least Common Multiple of 59922 and 59930?

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 59922 and 59930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59922 and 59930, than apply into the LCM equation.

GCF(59922,59930) = 2
LCM(59922,59930) = ( 59922 × 59930) / 2
LCM(59922,59930) = 3591125460 / 2
LCM(59922,59930) = 1795562730

Least Common Multiple (LCM) of 59922 and 59930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59922 and 59930. First we will calculate the prime factors of 59922 and 59930.

Prime Factorization of 59922

Prime Factorization of 59930

Now multiplying the highest exponent prime factors to calculate the LCM of 59922 and 59930.

LCM(59922,59930) = 2¹ × 3² × 3329¹ × 5¹ × 13¹ × 461¹
LCM(59922,59930) = 1795562730