What is the Least Common Multiple of 79042 and 79061?
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 79042 and 79061 is 6249139562.
LCM(79042,79061) = 6249139562
Least Common Multiple of 79042 and 79061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79042 and 79061, than apply into the LCM equation.
GCF(79042,79061) = 1
LCM(79042,79061) = ( 79042 × 79061) / 1
LCM(79042,79061) = 6249139562 / 1
LCM(79042,79061) = 6249139562
Least Common Multiple (LCM) of 79042 and 79061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79042 and 79061. First we will calculate the prime factors of 79042 and 79061.
Prime Factorization of 79042
Prime factors of 79042 are 2, 39521. Prime factorization of 79042 in exponential form is:
79042 = 21 × 395211
Prime Factorization of 79061
Prime factors of 79061 are 173, 457. Prime factorization of 79061 in exponential form is:
79061 = 1731 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 79042 and 79061.
LCM(79042,79061) = 21 × 395211 × 1731 × 4571
LCM(79042,79061) = 6249139562
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