What is the Least Common Multiple of 81449 and 81461?

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 81449 and 81461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81449 and 81461, than apply into the LCM equation.

GCF(81449,81461) = 1
LCM(81449,81461) = ( 81449 × 81461) / 1
LCM(81449,81461) = 6634916989 / 1
LCM(81449,81461) = 6634916989

Least Common Multiple (LCM) of 81449 and 81461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81449 and 81461. First we will calculate the prime factors of 81449 and 81461.

Prime Factorization of 81449

Prime Factorization of 81461

Now multiplying the highest exponent prime factors to calculate the LCM of 81449 and 81461.

LCM(81449,81461) = 79¹ × 1031¹ × 29¹ × 53²
LCM(81449,81461) = 6634916989