What is the Least Common Multiple of 61778 and 61797?
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 61778 and 61797 is 3817695066.
LCM(61778,61797) = 3817695066
Least Common Multiple of 61778 and 61797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61778 and 61797, than apply into the LCM equation.
GCF(61778,61797) = 1
LCM(61778,61797) = ( 61778 × 61797) / 1
LCM(61778,61797) = 3817695066 / 1
LCM(61778,61797) = 3817695066
Least Common Multiple (LCM) of 61778 and 61797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61778 and 61797. First we will calculate the prime factors of 61778 and 61797.
Prime Factorization of 61778
Prime factors of 61778 are 2, 17, 23, 79. Prime factorization of 61778 in exponential form is:
61778 = 21 × 171 × 231 × 791
Prime Factorization of 61797
Prime factors of 61797 are 3, 20599. Prime factorization of 61797 in exponential form is:
61797 = 31 × 205991
Now multiplying the highest exponent prime factors to calculate the LCM of 61778 and 61797.
LCM(61778,61797) = 21 × 171 × 231 × 791 × 31 × 205991
LCM(61778,61797) = 3817695066
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