What is the Least Common Multiple of 77441 and 77447?

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 77441 and 77447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77441 and 77447, than apply into the LCM equation.

GCF(77441,77447) = 1
LCM(77441,77447) = ( 77441 × 77447) / 1
LCM(77441,77447) = 5997573127 / 1
LCM(77441,77447) = 5997573127

Least Common Multiple (LCM) of 77441 and 77447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77441 and 77447. First we will calculate the prime factors of 77441 and 77447.

Prime Factorization of 77441

Prime Factorization of 77447

Now multiplying the highest exponent prime factors to calculate the LCM of 77441 and 77447.

LCM(77441,77447) = 7¹ × 13¹ × 23¹ × 37¹ × 77447¹
LCM(77441,77447) = 5997573127