What is the Least Common Multiple of 92690 and 92707?
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 92690 and 92707 is 8593011830.
LCM(92690,92707) = 8593011830
Least Common Multiple of 92690 and 92707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92690 and 92707, than apply into the LCM equation.
GCF(92690,92707) = 1
LCM(92690,92707) = ( 92690 × 92707) / 1
LCM(92690,92707) = 8593011830 / 1
LCM(92690,92707) = 8593011830
Least Common Multiple (LCM) of 92690 and 92707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92690 and 92707. First we will calculate the prime factors of 92690 and 92707.
Prime Factorization of 92690
Prime factors of 92690 are 2, 5, 13, 23, 31. Prime factorization of 92690 in exponential form is:
92690 = 21 × 51 × 131 × 231 × 311
Prime Factorization of 92707
Prime factors of 92707 are 92707. Prime factorization of 92707 in exponential form is:
92707 = 927071
Now multiplying the highest exponent prime factors to calculate the LCM of 92690 and 92707.
LCM(92690,92707) = 21 × 51 × 131 × 231 × 311 × 927071
LCM(92690,92707) = 8593011830
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