What is the Least Common Multiple of 7953 and 7969?

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 7953 and 7969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7953 and 7969, than apply into the LCM equation.

GCF(7953,7969) = 1
LCM(7953,7969) = ( 7953 × 7969) / 1
LCM(7953,7969) = 63377457 / 1
LCM(7953,7969) = 63377457

Least Common Multiple (LCM) of 7953 and 7969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7969. First we will calculate the prime factors of 7953 and 7969.

Prime Factorization of 7953

Prime Factorization of 7969

Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7969.

LCM(7953,7969) = 3¹ × 11¹ × 241¹ × 13¹ × 613¹
LCM(7953,7969) = 63377457