What is the Least Common Multiple of 55972 and 55991?

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 55972 and 55991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55972 and 55991, than apply into the LCM equation.

GCF(55972,55991) = 1
LCM(55972,55991) = ( 55972 × 55991) / 1
LCM(55972,55991) = 3133928252 / 1
LCM(55972,55991) = 3133928252

Least Common Multiple (LCM) of 55972 and 55991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55972 and 55991. First we will calculate the prime factors of 55972 and 55991.

Prime Factorization of 55972

Prime Factorization of 55991

Now multiplying the highest exponent prime factors to calculate the LCM of 55972 and 55991.

LCM(55972,55991) = 2² × 7¹ × 1999¹ × 13¹ × 59¹ × 73¹
LCM(55972,55991) = 3133928252