What is the Least Common Multiple of 66749 and 66762?
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 66749 and 66762 is 4456296738.
LCM(66749,66762) = 4456296738
Least Common Multiple of 66749 and 66762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66749 and 66762, than apply into the LCM equation.
GCF(66749,66762) = 1
LCM(66749,66762) = ( 66749 × 66762) / 1
LCM(66749,66762) = 4456296738 / 1
LCM(66749,66762) = 4456296738
Least Common Multiple (LCM) of 66749 and 66762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66749 and 66762. First we will calculate the prime factors of 66749 and 66762.
Prime Factorization of 66749
Prime factors of 66749 are 66749. Prime factorization of 66749 in exponential form is:
66749 = 667491
Prime Factorization of 66762
Prime factors of 66762 are 2, 3, 3709. Prime factorization of 66762 in exponential form is:
66762 = 21 × 32 × 37091
Now multiplying the highest exponent prime factors to calculate the LCM of 66749 and 66762.
LCM(66749,66762) = 667491 × 21 × 32 × 37091
LCM(66749,66762) = 4456296738
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