What is the Least Common Multiple of 93137 and 93152?
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 93137 and 93152 is 8675897824.
LCM(93137,93152) = 8675897824
Least Common Multiple of 93137 and 93152 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93137 and 93152, than apply into the LCM equation.
GCF(93137,93152) = 1
LCM(93137,93152) = ( 93137 × 93152) / 1
LCM(93137,93152) = 8675897824 / 1
LCM(93137,93152) = 8675897824
Least Common Multiple (LCM) of 93137 and 93152 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93137 and 93152. First we will calculate the prime factors of 93137 and 93152.
Prime Factorization of 93137
Prime factors of 93137 are 11, 8467. Prime factorization of 93137 in exponential form is:
93137 = 111 × 84671
Prime Factorization of 93152
Prime factors of 93152 are 2, 41, 71. Prime factorization of 93152 in exponential form is:
93152 = 25 × 411 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 93137 and 93152.
LCM(93137,93152) = 111 × 84671 × 25 × 411 × 711
LCM(93137,93152) = 8675897824
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