What is the Least Common Multiple of 40237 and 40246?
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 40237 and 40246 is 1619378302.
LCM(40237,40246) = 1619378302
Least Common Multiple of 40237 and 40246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40237 and 40246, than apply into the LCM equation.
GCF(40237,40246) = 1
LCM(40237,40246) = ( 40237 × 40246) / 1
LCM(40237,40246) = 1619378302 / 1
LCM(40237,40246) = 1619378302
Least Common Multiple (LCM) of 40237 and 40246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40237 and 40246. First we will calculate the prime factors of 40237 and 40246.
Prime Factorization of 40237
Prime factors of 40237 are 40237. Prime factorization of 40237 in exponential form is:
40237 = 402371
Prime Factorization of 40246
Prime factors of 40246 are 2, 20123. Prime factorization of 40246 in exponential form is:
40246 = 21 × 201231
Now multiplying the highest exponent prime factors to calculate the LCM of 40237 and 40246.
LCM(40237,40246) = 402371 × 21 × 201231
LCM(40237,40246) = 1619378302
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