What is the Least Common Multiple of 76530 and 76535?

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 76530 and 76535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76530 and 76535, than apply into the LCM equation.

GCF(76530,76535) = 5
LCM(76530,76535) = ( 76530 × 76535) / 5
LCM(76530,76535) = 5857223550 / 5
LCM(76530,76535) = 1171444710

Least Common Multiple (LCM) of 76530 and 76535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76530 and 76535. First we will calculate the prime factors of 76530 and 76535.

Prime Factorization of 76530

Prime Factorization of 76535

Now multiplying the highest exponent prime factors to calculate the LCM of 76530 and 76535.

LCM(76530,76535) = 2¹ × 3¹ × 5¹ × 2551¹ × 15307¹
LCM(76530,76535) = 1171444710