What is the Least Common Multiple of 86737 and 86746?
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 86737 and 86746 is 7524087802.
LCM(86737,86746) = 7524087802
Least Common Multiple of 86737 and 86746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86737 and 86746, than apply into the LCM equation.
GCF(86737,86746) = 1
LCM(86737,86746) = ( 86737 × 86746) / 1
LCM(86737,86746) = 7524087802 / 1
LCM(86737,86746) = 7524087802
Least Common Multiple (LCM) of 86737 and 86746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86737 and 86746. First we will calculate the prime factors of 86737 and 86746.
Prime Factorization of 86737
Prime factors of 86737 are 7, 12391. Prime factorization of 86737 in exponential form is:
86737 = 71 × 123911
Prime Factorization of 86746
Prime factors of 86746 are 2, 11, 3943. Prime factorization of 86746 in exponential form is:
86746 = 21 × 111 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 86737 and 86746.
LCM(86737,86746) = 71 × 123911 × 21 × 111 × 39431
LCM(86737,86746) = 7524087802
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