What is the Least Common Multiple of 6952 and 6969?

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 6952 and 6969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6952 and 6969, than apply into the LCM equation.

GCF(6952,6969) = 1
LCM(6952,6969) = ( 6952 × 6969) / 1
LCM(6952,6969) = 48448488 / 1
LCM(6952,6969) = 48448488

Least Common Multiple (LCM) of 6952 and 6969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6969. First we will calculate the prime factors of 6952 and 6969.

Prime Factorization of 6952

Prime Factorization of 6969

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6969.

LCM(6952,6969) = 2³ × 11¹ × 79¹ × 3¹ × 23¹ × 101¹
LCM(6952,6969) = 48448488