What is the Least Common Multiple of 59634 and 59638?
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 59634 and 59638 is 1778226246.
LCM(59634,59638) = 1778226246
Least Common Multiple of 59634 and 59638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59634 and 59638, than apply into the LCM equation.
GCF(59634,59638) = 2
LCM(59634,59638) = ( 59634 × 59638) / 2
LCM(59634,59638) = 3556452492 / 2
LCM(59634,59638) = 1778226246
Least Common Multiple (LCM) of 59634 and 59638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59634 and 59638. First we will calculate the prime factors of 59634 and 59638.
Prime Factorization of 59634
Prime factors of 59634 are 2, 3, 3313. Prime factorization of 59634 in exponential form is:
59634 = 21 × 32 × 33131
Prime Factorization of 59638
Prime factors of 59638 are 2, 29819. Prime factorization of 59638 in exponential form is:
59638 = 21 × 298191
Now multiplying the highest exponent prime factors to calculate the LCM of 59634 and 59638.
LCM(59634,59638) = 21 × 32 × 33131 × 298191
LCM(59634,59638) = 1778226246
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