What is the Least Common Multiple of 72117 and 72135?
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 72117 and 72135 is 578017755.
LCM(72117,72135) = 578017755
Least Common Multiple of 72117 and 72135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72117 and 72135, than apply into the LCM equation.
GCF(72117,72135) = 9
LCM(72117,72135) = ( 72117 × 72135) / 9
LCM(72117,72135) = 5202159795 / 9
LCM(72117,72135) = 578017755
Least Common Multiple (LCM) of 72117 and 72135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72117 and 72135. First we will calculate the prime factors of 72117 and 72135.
Prime Factorization of 72117
Prime factors of 72117 are 3, 2671. Prime factorization of 72117 in exponential form is:
72117 = 33 × 26711
Prime Factorization of 72135
Prime factors of 72135 are 3, 5, 7, 229. Prime factorization of 72135 in exponential form is:
72135 = 32 × 51 × 71 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 72117 and 72135.
LCM(72117,72135) = 33 × 26711 × 51 × 71 × 2291
LCM(72117,72135) = 578017755
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