What is the Least Common Multiple of 78994 and 79013?
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 78994 and 79013 is 6241552922.
LCM(78994,79013) = 6241552922
Least Common Multiple of 78994 and 79013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78994 and 79013, than apply into the LCM equation.
GCF(78994,79013) = 1
LCM(78994,79013) = ( 78994 × 79013) / 1
LCM(78994,79013) = 6241552922 / 1
LCM(78994,79013) = 6241552922
Least Common Multiple (LCM) of 78994 and 79013 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78994 and 79013. First we will calculate the prime factors of 78994 and 79013.
Prime Factorization of 78994
Prime factors of 78994 are 2, 127, 311. Prime factorization of 78994 in exponential form is:
78994 = 21 × 1271 × 3111
Prime Factorization of 79013
Prime factors of 79013 are 11, 653. Prime factorization of 79013 in exponential form is:
79013 = 112 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 78994 and 79013.
LCM(78994,79013) = 21 × 1271 × 3111 × 112 × 6531
LCM(78994,79013) = 6241552922
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