What is the Least Common Multiple of 79041 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 79041 and 79061 is 6249060501.
LCM(79041,79061) = 6249060501
Least Common Multiple of 79041 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 79041 and 79061, than apply into the LCM equation.
GCF(79041,79061) = 1
LCM(79041,79061) = ( 79041 × 79061) / 1
LCM(79041,79061) = 6249060501 / 1
LCM(79041,79061) = 6249060501
Least Common Multiple (LCM) of 79041 and 79061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79041 and 79061. First we will calculate the prime factors of 79041 and 79061.
Prime Factorization of 79041
Prime factors of 79041 are 3, 26347. Prime factorization of 79041 in exponential form is:
79041 = 31 × 263471
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 79041 and 79061.
LCM(79041,79061) = 31 × 263471 × 1731 × 4571
LCM(79041,79061) = 6249060501
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