What is the Least Common Multiple of 77545 and 77560?

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 77545 and 77560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77545 and 77560, than apply into the LCM equation.

GCF(77545,77560) = 5
LCM(77545,77560) = ( 77545 × 77560) / 5
LCM(77545,77560) = 6014390200 / 5
LCM(77545,77560) = 1202878040

Least Common Multiple (LCM) of 77545 and 77560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77545 and 77560. First we will calculate the prime factors of 77545 and 77560.

Prime Factorization of 77545

Prime Factorization of 77560

Now multiplying the highest exponent prime factors to calculate the LCM of 77545 and 77560.

LCM(77545,77560) = 5¹ × 13¹ × 1193¹ × 2³ × 7¹ × 277¹
LCM(77545,77560) = 1202878040