What is the Least Common Multiple of 79067 and 79085?
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 79067 and 79085 is 6253013695.
LCM(79067,79085) = 6253013695
Least Common Multiple of 79067 and 79085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79067 and 79085, than apply into the LCM equation.
GCF(79067,79085) = 1
LCM(79067,79085) = ( 79067 × 79085) / 1
LCM(79067,79085) = 6253013695 / 1
LCM(79067,79085) = 6253013695
Least Common Multiple (LCM) of 79067 and 79085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79067 and 79085. First we will calculate the prime factors of 79067 and 79085.
Prime Factorization of 79067
Prime factors of 79067 are 17, 4651. Prime factorization of 79067 in exponential form is:
79067 = 171 × 46511
Prime Factorization of 79085
Prime factors of 79085 are 5, 15817. Prime factorization of 79085 in exponential form is:
79085 = 51 × 158171
Now multiplying the highest exponent prime factors to calculate the LCM of 79067 and 79085.
LCM(79067,79085) = 171 × 46511 × 51 × 158171
LCM(79067,79085) = 6253013695
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