What is the Least Common Multiple of 64231 and 64246?
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 64231 and 64246 is 4126584826.
LCM(64231,64246) = 4126584826
Least Common Multiple of 64231 and 64246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64231 and 64246, than apply into the LCM equation.
GCF(64231,64246) = 1
LCM(64231,64246) = ( 64231 × 64246) / 1
LCM(64231,64246) = 4126584826 / 1
LCM(64231,64246) = 4126584826
Least Common Multiple (LCM) of 64231 and 64246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64231 and 64246. First we will calculate the prime factors of 64231 and 64246.
Prime Factorization of 64231
Prime factors of 64231 are 64231. Prime factorization of 64231 in exponential form is:
64231 = 642311
Prime Factorization of 64246
Prime factors of 64246 are 2, 7, 13, 353. Prime factorization of 64246 in exponential form is:
64246 = 21 × 71 × 131 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 64231 and 64246.
LCM(64231,64246) = 642311 × 21 × 71 × 131 × 3531
LCM(64231,64246) = 4126584826
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