What is the Least Common Multiple of 76570 and 76583?

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 76570 and 76583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76570 and 76583, than apply into the LCM equation.

GCF(76570,76583) = 13
LCM(76570,76583) = ( 76570 × 76583) / 13
LCM(76570,76583) = 5863960310 / 13
LCM(76570,76583) = 451073870

Least Common Multiple (LCM) of 76570 and 76583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76570 and 76583. First we will calculate the prime factors of 76570 and 76583.

Prime Factorization of 76570

Prime Factorization of 76583

Now multiplying the highest exponent prime factors to calculate the LCM of 76570 and 76583.

LCM(76570,76583) = 2¹ × 5¹ × 13¹ × 19¹ × 31¹ × 43¹ × 137¹
LCM(76570,76583) = 451073870