What is the Least Common Multiple of 94685 and 94692?
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 94685 and 94692 is 8965912020.
LCM(94685,94692) = 8965912020
Least Common Multiple of 94685 and 94692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94685 and 94692, than apply into the LCM equation.
GCF(94685,94692) = 1
LCM(94685,94692) = ( 94685 × 94692) / 1
LCM(94685,94692) = 8965912020 / 1
LCM(94685,94692) = 8965912020
Least Common Multiple (LCM) of 94685 and 94692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94685 and 94692. First we will calculate the prime factors of 94685 and 94692.
Prime Factorization of 94685
Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:
94685 = 51 × 291 × 6531
Prime Factorization of 94692
Prime factors of 94692 are 2, 3, 13, 607. Prime factorization of 94692 in exponential form is:
94692 = 22 × 31 × 131 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 94685 and 94692.
LCM(94685,94692) = 51 × 291 × 6531 × 22 × 31 × 131 × 6071
LCM(94685,94692) = 8965912020
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