What is the Least Common Multiple of 91240 and 91246?
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 91240 and 91246 is 4162642520.
LCM(91240,91246) = 4162642520
Least Common Multiple of 91240 and 91246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91240 and 91246, than apply into the LCM equation.
GCF(91240,91246) = 2
LCM(91240,91246) = ( 91240 × 91246) / 2
LCM(91240,91246) = 8325285040 / 2
LCM(91240,91246) = 4162642520
Least Common Multiple (LCM) of 91240 and 91246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91240 and 91246. First we will calculate the prime factors of 91240 and 91246.
Prime Factorization of 91240
Prime factors of 91240 are 2, 5, 2281. Prime factorization of 91240 in exponential form is:
91240 = 23 × 51 × 22811
Prime Factorization of 91246
Prime factors of 91246 are 2, 43, 1061. Prime factorization of 91246 in exponential form is:
91246 = 21 × 431 × 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 91240 and 91246.
LCM(91240,91246) = 23 × 51 × 22811 × 431 × 10611
LCM(91240,91246) = 4162642520
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