What is the Least Common Multiple of 20712 and 20720?
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 (LCM) of 20712 and 20720 is 53644080.
LCM(20712,20720) = 53644080
Least Common Multiple of 20712 and 20720 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20712 and 20720, than apply into the LCM equation.
GCF(20712,20720) = 8
LCM(20712,20720) = ( 20712 × 20720) / 8
LCM(20712,20720) = 429152640 / 8
LCM(20712,20720) = 53644080
Least Common Multiple (LCM) of 20712 and 20720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20712 and 20720. First we will calculate the prime factors of 20712 and 20720.
Prime Factorization of 20712
Prime factors of 20712 are 2, 3, 863. Prime factorization of 20712 in exponential form is:
20712 = 23 × 31 × 8631
Prime Factorization of 20720
Prime factors of 20720 are 2, 5, 7, 37. Prime factorization of 20720 in exponential form is:
20720 = 24 × 51 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 20712 and 20720.
LCM(20712,20720) = 24 × 31 × 8631 × 51 × 71 × 371
LCM(20712,20720) = 53644080
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