What is the Least Common Multiple of 1657 and 1661?
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 1657 and 1661 is 2752277.
LCM(1657,1661) = 2752277
Least Common Multiple of 1657 and 1661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1657 and 1661, than apply into the LCM equation.
GCF(1657,1661) = 1
LCM(1657,1661) = ( 1657 × 1661) / 1
LCM(1657,1661) = 2752277 / 1
LCM(1657,1661) = 2752277
Least Common Multiple (LCM) of 1657 and 1661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1657 and 1661. First we will calculate the prime factors of 1657 and 1661.
Prime Factorization of 1657
Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:
1657 = 16571
Prime Factorization of 1661
Prime factors of 1661 are 11, 151. Prime factorization of 1661 in exponential form is:
1661 = 111 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 1657 and 1661.
LCM(1657,1661) = 16571 × 111 × 1511
LCM(1657,1661) = 2752277
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