What is the Least Common Multiple of 79055 and 79074?
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 79055 and 79074 is 6251195070.
LCM(79055,79074) = 6251195070
Least Common Multiple of 79055 and 79074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79055 and 79074, than apply into the LCM equation.
GCF(79055,79074) = 1
LCM(79055,79074) = ( 79055 × 79074) / 1
LCM(79055,79074) = 6251195070 / 1
LCM(79055,79074) = 6251195070
Least Common Multiple (LCM) of 79055 and 79074 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79055 and 79074. First we will calculate the prime factors of 79055 and 79074.
Prime Factorization of 79055
Prime factors of 79055 are 5, 97, 163. Prime factorization of 79055 in exponential form is:
79055 = 51 × 971 × 1631
Prime Factorization of 79074
Prime factors of 79074 are 2, 3, 23, 191. Prime factorization of 79074 in exponential form is:
79074 = 21 × 32 × 231 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 79055 and 79074.
LCM(79055,79074) = 51 × 971 × 1631 × 21 × 32 × 231 × 1911
LCM(79055,79074) = 6251195070
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