What is the Least Common Multiple of 64668 and 64685?
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 64668 and 64685 is 246061740.
LCM(64668,64685) = 246061740
Least Common Multiple of 64668 and 64685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64668 and 64685, than apply into the LCM equation.
GCF(64668,64685) = 17
LCM(64668,64685) = ( 64668 × 64685) / 17
LCM(64668,64685) = 4183049580 / 17
LCM(64668,64685) = 246061740
Least Common Multiple (LCM) of 64668 and 64685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64668 and 64685. First we will calculate the prime factors of 64668 and 64685.
Prime Factorization of 64668
Prime factors of 64668 are 2, 3, 17, 317. Prime factorization of 64668 in exponential form is:
64668 = 22 × 31 × 171 × 3171
Prime Factorization of 64685
Prime factors of 64685 are 5, 17, 761. Prime factorization of 64685 in exponential form is:
64685 = 51 × 171 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 64668 and 64685.
LCM(64668,64685) = 22 × 31 × 171 × 3171 × 51 × 7611
LCM(64668,64685) = 246061740
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