What is the Least Common Multiple of 92602 and 92610?
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 92602 and 92610 is 4287935610.
LCM(92602,92610) = 4287935610
Least Common Multiple of 92602 and 92610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92602 and 92610, than apply into the LCM equation.
GCF(92602,92610) = 2
LCM(92602,92610) = ( 92602 × 92610) / 2
LCM(92602,92610) = 8575871220 / 2
LCM(92602,92610) = 4287935610
Least Common Multiple (LCM) of 92602 and 92610 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92602 and 92610. First we will calculate the prime factors of 92602 and 92610.
Prime Factorization of 92602
Prime factors of 92602 are 2, 46301. Prime factorization of 92602 in exponential form is:
92602 = 21 × 463011
Prime Factorization of 92610
Prime factors of 92610 are 2, 3, 5, 7. Prime factorization of 92610 in exponential form is:
92610 = 21 × 33 × 51 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 92602 and 92610.
LCM(92602,92610) = 21 × 463011 × 33 × 51 × 73
LCM(92602,92610) = 4287935610
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