What is the Least Common Multiple of 77520 and 77540?

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 77540 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 77540, than apply into the LCM equation.

GCF(77520,77540) = 20
LCM(77520,77540) = ( 77520 × 77540) / 20
LCM(77520,77540) = 6010900800 / 20
LCM(77520,77540) = 300545040

Least Common Multiple (LCM) of 77520 and 77540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77520 and 77540. First we will calculate the prime factors of 77520 and 77540.

Prime Factorization of 77520

Prime Factorization of 77540

Now multiplying the highest exponent prime factors to calculate the LCM of 77520 and 77540.

LCM(77520,77540) = 2⁴ × 3¹ × 5¹ × 17¹ × 19¹ × 3877¹
LCM(77520,77540) = 300545040