What is the Least Common Multiple of 79055 and 79062?
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 79062 is 6250246410.
LCM(79055,79062) = 6250246410
Least Common Multiple of 79055 and 79062 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 79062, than apply into the LCM equation.
GCF(79055,79062) = 1
LCM(79055,79062) = ( 79055 × 79062) / 1
LCM(79055,79062) = 6250246410 / 1
LCM(79055,79062) = 6250246410
Least Common Multiple (LCM) of 79055 and 79062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79055 and 79062. First we will calculate the prime factors of 79055 and 79062.
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 79062
Prime factors of 79062 are 2, 3, 13177. Prime factorization of 79062 in exponential form is:
79062 = 21 × 31 × 131771
Now multiplying the highest exponent prime factors to calculate the LCM of 79055 and 79062.
LCM(79055,79062) = 51 × 971 × 1631 × 21 × 31 × 131771
LCM(79055,79062) = 6250246410
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