What is the Least Common Multiple of 79053 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 79053 and 79061 is 6250009233.
LCM(79053,79061) = 6250009233
Least Common Multiple of 79053 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 79053 and 79061, than apply into the LCM equation.
GCF(79053,79061) = 1
LCM(79053,79061) = ( 79053 × 79061) / 1
LCM(79053,79061) = 6250009233 / 1
LCM(79053,79061) = 6250009233
Least Common Multiple (LCM) of 79053 and 79061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79053 and 79061. First we will calculate the prime factors of 79053 and 79061.
Prime Factorization of 79053
Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:
79053 = 31 × 131 × 20271
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 79053 and 79061.
LCM(79053,79061) = 31 × 131 × 20271 × 1731 × 4571
LCM(79053,79061) = 6250009233
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