What is the Least Common Multiple of 73680 and 73685?
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 73680 and 73685 is 1085822160.
LCM(73680,73685) = 1085822160
Least Common Multiple of 73680 and 73685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73680 and 73685, than apply into the LCM equation.
GCF(73680,73685) = 5
LCM(73680,73685) = ( 73680 × 73685) / 5
LCM(73680,73685) = 5429110800 / 5
LCM(73680,73685) = 1085822160
Least Common Multiple (LCM) of 73680 and 73685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73680 and 73685. First we will calculate the prime factors of 73680 and 73685.
Prime Factorization of 73680
Prime factors of 73680 are 2, 3, 5, 307. Prime factorization of 73680 in exponential form is:
73680 = 24 × 31 × 51 × 3071
Prime Factorization of 73685
Prime factors of 73685 are 5, 14737. Prime factorization of 73685 in exponential form is:
73685 = 51 × 147371
Now multiplying the highest exponent prime factors to calculate the LCM of 73680 and 73685.
LCM(73680,73685) = 24 × 31 × 51 × 3071 × 147371
LCM(73680,73685) = 1085822160
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