What is the Least Common Multiple of 19520 and 19540?

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 19520 and 19540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19520 and 19540, than apply into the LCM equation.

GCF(19520,19540) = 20
LCM(19520,19540) = ( 19520 × 19540) / 20
LCM(19520,19540) = 381420800 / 20
LCM(19520,19540) = 19071040

Least Common Multiple (LCM) of 19520 and 19540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19520 and 19540. First we will calculate the prime factors of 19520 and 19540.

Prime Factorization of 19520

Prime Factorization of 19540

Now multiplying the highest exponent prime factors to calculate the LCM of 19520 and 19540.

LCM(19520,19540) = 2⁶ × 5¹ × 61¹ × 977¹
LCM(19520,19540) = 19071040