What is the Least Common Multiple of 77520 and 77535?

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 77520 and 77535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77520 and 77535, than apply into the LCM equation.

GCF(77520,77535) = 15
LCM(77520,77535) = ( 77520 × 77535) / 15
LCM(77520,77535) = 6010513200 / 15
LCM(77520,77535) = 400700880

Least Common Multiple (LCM) of 77520 and 77535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77520 and 77535. First we will calculate the prime factors of 77520 and 77535.

Prime Factorization of 77520

Prime Factorization of 77535

Now multiplying the highest exponent prime factors to calculate the LCM of 77520 and 77535.

LCM(77520,77535) = 2⁴ × 3² × 5¹ × 17¹ × 19¹ × 1723¹
LCM(77520,77535) = 400700880