What is the Least Common Multiple of 76540 and 76546?

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 76540 and 76546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76540 and 76546, than apply into the LCM equation.

GCF(76540,76546) = 2
LCM(76540,76546) = ( 76540 × 76546) / 2
LCM(76540,76546) = 5858830840 / 2
LCM(76540,76546) = 2929415420

Least Common Multiple (LCM) of 76540 and 76546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76540 and 76546. First we will calculate the prime factors of 76540 and 76546.

Prime Factorization of 76540

Prime Factorization of 76546

Now multiplying the highest exponent prime factors to calculate the LCM of 76540 and 76546.

LCM(76540,76546) = 2² × 5¹ × 43¹ × 89¹ × 38273¹
LCM(76540,76546) = 2929415420