What is the Least Common Multiple of 64730 and 64749?
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 64730 and 64749 is 4191202770.
LCM(64730,64749) = 4191202770
Least Common Multiple of 64730 and 64749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64730 and 64749, than apply into the LCM equation.
GCF(64730,64749) = 1
LCM(64730,64749) = ( 64730 × 64749) / 1
LCM(64730,64749) = 4191202770 / 1
LCM(64730,64749) = 4191202770
Least Common Multiple (LCM) of 64730 and 64749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64730 and 64749. First we will calculate the prime factors of 64730 and 64749.
Prime Factorization of 64730
Prime factors of 64730 are 2, 5, 6473. Prime factorization of 64730 in exponential form is:
64730 = 21 × 51 × 64731
Prime Factorization of 64749
Prime factors of 64749 are 3, 113, 191. Prime factorization of 64749 in exponential form is:
64749 = 31 × 1131 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 64730 and 64749.
LCM(64730,64749) = 21 × 51 × 64731 × 31 × 1131 × 1911
LCM(64730,64749) = 4191202770
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