What is the Least Common Multiple of 60 and 80?
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 60 and 80 is 240.
LCM(60,80) = 240
Least Common Multiple of 60 and 80 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60 and 80, than apply into the LCM equation.
GCF(60,80) = 20
LCM(60,80) = ( 60 × 80) / 20
LCM(60,80) = 4800 / 20
LCM(60,80) = 240
Least Common Multiple (LCM) of 60 and 80 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60 and 80. First we will calculate the prime factors of 60 and 80.
Prime Factorization of 60
Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:
60 = 22 × 31 × 51
Prime Factorization of 80
Prime factors of 80 are 2, 5. Prime factorization of 80 in exponential form is:
80 = 24 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 60 and 80.
LCM(60,80) = 24 × 31 × 51
LCM(60,80) = 240