What is the Least Common Multiple of 67 and 79?
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 67 and 79 is 5293.
LCM(67,79) = 5293
Least Common Multiple of 67 and 79 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67 and 79, than apply into the LCM equation.
GCF(67,79) = 1
LCM(67,79) = ( 67 × 79) / 1
LCM(67,79) = 5293 / 1
LCM(67,79) = 5293
Least Common Multiple (LCM) of 67 and 79 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67 and 79. First we will calculate the prime factors of 67 and 79.
Prime Factorization of 67
Prime factors of 67 are 67. Prime factorization of 67 in exponential form is:
67 = 671
Prime Factorization of 79
Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:
79 = 791
Now multiplying the highest exponent prime factors to calculate the LCM of 67 and 79.
LCM(67,79) = 671 × 791
LCM(67,79) = 5293