What is the Least Common Multiple of 79949 and 79969?

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 79949 and 79969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79949 and 79969, than apply into the LCM equation.

GCF(79949,79969) = 1
LCM(79949,79969) = ( 79949 × 79969) / 1
LCM(79949,79969) = 6393441581 / 1
LCM(79949,79969) = 6393441581

Least Common Multiple (LCM) of 79949 and 79969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79949 and 79969. First we will calculate the prime factors of 79949 and 79969.

Prime Factorization of 79949

Prime Factorization of 79969

Now multiplying the highest exponent prime factors to calculate the LCM of 79949 and 79969.

LCM(79949,79969) = 31¹ × 2579¹ × 211¹ × 379¹
LCM(79949,79969) = 6393441581