What is the Least Common Multiple of 52972 and 52988?

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 52972 and 52988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52972 and 52988, than apply into the LCM equation.

GCF(52972,52988) = 4
LCM(52972,52988) = ( 52972 × 52988) / 4
LCM(52972,52988) = 2806880336 / 4
LCM(52972,52988) = 701720084

Least Common Multiple (LCM) of 52972 and 52988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52972 and 52988. First we will calculate the prime factors of 52972 and 52988.

Prime Factorization of 52972

Prime Factorization of 52988

Now multiplying the highest exponent prime factors to calculate the LCM of 52972 and 52988.

LCM(52972,52988) = 2² × 17¹ × 19¹ × 41¹ × 13¹ × 1019¹
LCM(52972,52988) = 701720084