What is the Least Common Multiple of 76495 and 76505?

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 76495 and 76505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76495 and 76505, than apply into the LCM equation.

GCF(76495,76505) = 5
LCM(76495,76505) = ( 76495 × 76505) / 5
LCM(76495,76505) = 5852249975 / 5
LCM(76495,76505) = 1170449995

Least Common Multiple (LCM) of 76495 and 76505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76495 and 76505. First we will calculate the prime factors of 76495 and 76505.

Prime Factorization of 76495

Prime Factorization of 76505

Now multiplying the highest exponent prime factors to calculate the LCM of 76495 and 76505.

LCM(76495,76505) = 5¹ × 15299¹ × 11¹ × 13¹ × 107¹
LCM(76495,76505) = 1170449995