What is the Least Common Multiple of 55962 and 55980?

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 55962 and 55980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55962 and 55980, than apply into the LCM equation.

GCF(55962,55980) = 18
LCM(55962,55980) = ( 55962 × 55980) / 18
LCM(55962,55980) = 3132752760 / 18
LCM(55962,55980) = 174041820

Least Common Multiple (LCM) of 55962 and 55980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55962 and 55980. First we will calculate the prime factors of 55962 and 55980.

Prime Factorization of 55962

Prime Factorization of 55980

Now multiplying the highest exponent prime factors to calculate the LCM of 55962 and 55980.

LCM(55962,55980) = 2² × 3² × 3109¹ × 5¹ × 311¹
LCM(55962,55980) = 174041820