What is the Least Common Multiple of 92650 and 92662?
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 92650 and 92662 is 4292567150.
LCM(92650,92662) = 4292567150
Least Common Multiple of 92650 and 92662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92650 and 92662, than apply into the LCM equation.
GCF(92650,92662) = 2
LCM(92650,92662) = ( 92650 × 92662) / 2
LCM(92650,92662) = 8585134300 / 2
LCM(92650,92662) = 4292567150
Least Common Multiple (LCM) of 92650 and 92662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92650 and 92662. First we will calculate the prime factors of 92650 and 92662.
Prime Factorization of 92650
Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:
92650 = 21 × 52 × 171 × 1091
Prime Factorization of 92662
Prime factors of 92662 are 2, 107, 433. Prime factorization of 92662 in exponential form is:
92662 = 21 × 1071 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 92650 and 92662.
LCM(92650,92662) = 21 × 52 × 171 × 1091 × 1071 × 4331
LCM(92650,92662) = 4292567150
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