What is the Least Common Multiple of 19540 and 19560?

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 19540 and 19560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19540 and 19560, than apply into the LCM equation.

GCF(19540,19560) = 20
LCM(19540,19560) = ( 19540 × 19560) / 20
LCM(19540,19560) = 382202400 / 20
LCM(19540,19560) = 19110120

Least Common Multiple (LCM) of 19540 and 19560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19540 and 19560. First we will calculate the prime factors of 19540 and 19560.

Prime Factorization of 19540

Prime Factorization of 19560

Now multiplying the highest exponent prime factors to calculate the LCM of 19540 and 19560.

LCM(19540,19560) = 2³ × 5¹ × 977¹ × 3¹ × 163¹
LCM(19540,19560) = 19110120