What is the Least Common Multiple of 10972 and 10988?

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 10972 and 10988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10972 and 10988, than apply into the LCM equation.

GCF(10972,10988) = 4
LCM(10972,10988) = ( 10972 × 10988) / 4
LCM(10972,10988) = 120560336 / 4
LCM(10972,10988) = 30140084

Least Common Multiple (LCM) of 10972 and 10988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10972 and 10988. First we will calculate the prime factors of 10972 and 10988.

Prime Factorization of 10972

Prime Factorization of 10988

Now multiplying the highest exponent prime factors to calculate the LCM of 10972 and 10988.

LCM(10972,10988) = 2² × 13¹ × 211¹ × 41¹ × 67¹
LCM(10972,10988) = 30140084