What is the Least Common Multiple of 64230 and 64237?
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 64230 and 64237 is 4125942510.
LCM(64230,64237) = 4125942510
Least Common Multiple of 64230 and 64237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64230 and 64237, than apply into the LCM equation.
GCF(64230,64237) = 1
LCM(64230,64237) = ( 64230 × 64237) / 1
LCM(64230,64237) = 4125942510 / 1
LCM(64230,64237) = 4125942510
Least Common Multiple (LCM) of 64230 and 64237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64230 and 64237. First we will calculate the prime factors of 64230 and 64237.
Prime Factorization of 64230
Prime factors of 64230 are 2, 3, 5, 2141. Prime factorization of 64230 in exponential form is:
64230 = 21 × 31 × 51 × 21411
Prime Factorization of 64237
Prime factors of 64237 are 64237. Prime factorization of 64237 in exponential form is:
64237 = 642371
Now multiplying the highest exponent prime factors to calculate the LCM of 64230 and 64237.
LCM(64230,64237) = 21 × 31 × 51 × 21411 × 642371
LCM(64230,64237) = 4125942510
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