What is the Least Common Multiple of 1560 and 1577?

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 1560 and 1577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1560 and 1577, than apply into the LCM equation.

GCF(1560,1577) = 1
LCM(1560,1577) = ( 1560 × 1577) / 1
LCM(1560,1577) = 2460120 / 1
LCM(1560,1577) = 2460120

Least Common Multiple (LCM) of 1560 and 1577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1560 and 1577. First we will calculate the prime factors of 1560 and 1577.

Prime Factorization of 1560

Prime Factorization of 1577

Now multiplying the highest exponent prime factors to calculate the LCM of 1560 and 1577.

LCM(1560,1577) = 2³ × 3¹ × 5¹ × 13¹ × 19¹ × 83¹
LCM(1560,1577) = 2460120