What is the Least Common Multiple of 19720 and 19735?

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 19720 and 19735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19720 and 19735, than apply into the LCM equation.

GCF(19720,19735) = 5
LCM(19720,19735) = ( 19720 × 19735) / 5
LCM(19720,19735) = 389174200 / 5
LCM(19720,19735) = 77834840

Least Common Multiple (LCM) of 19720 and 19735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19720 and 19735. First we will calculate the prime factors of 19720 and 19735.

Prime Factorization of 19720

Prime Factorization of 19735

Now multiplying the highest exponent prime factors to calculate the LCM of 19720 and 19735.

LCM(19720,19735) = 2³ × 5¹ × 17¹ × 29¹ × 3947¹
LCM(19720,19735) = 77834840