What is the Least Common Multiple of 79727 and 79736?
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 79727 and 79736 is 6357112072.
LCM(79727,79736) = 6357112072
Least Common Multiple of 79727 and 79736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79727 and 79736, than apply into the LCM equation.
GCF(79727,79736) = 1
LCM(79727,79736) = ( 79727 × 79736) / 1
LCM(79727,79736) = 6357112072 / 1
LCM(79727,79736) = 6357112072
Least Common Multiple (LCM) of 79727 and 79736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79727 and 79736. First we will calculate the prime factors of 79727 and 79736.
Prime Factorization of 79727
Prime factors of 79727 are 61, 1307. Prime factorization of 79727 in exponential form is:
79727 = 611 × 13071
Prime Factorization of 79736
Prime factors of 79736 are 2, 9967. Prime factorization of 79736 in exponential form is:
79736 = 23 × 99671
Now multiplying the highest exponent prime factors to calculate the LCM of 79727 and 79736.
LCM(79727,79736) = 611 × 13071 × 23 × 99671
LCM(79727,79736) = 6357112072
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