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What is the Least Common Multiple of 61122 and 61127?

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 61122 and 61127 is 3736204494.

LCM(61122,61127) = 3736204494

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Least Common Multiple of 61122 and 61127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61122 and 61127, than apply into the LCM equation.

GCF(61122,61127) = 1
LCM(61122,61127) = ( 61122 × 61127) / 1
LCM(61122,61127) = 3736204494 / 1
LCM(61122,61127) = 3736204494

Least Common Multiple (LCM) of 61122 and 61127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61122 and 61127. First we will calculate the prime factors of 61122 and 61127.

Prime Factorization of 61122

Prime factors of 61122 are 2, 3, 61, 167. Prime factorization of 61122 in exponential form is:

61122 = 21 × 31 × 611 × 1671

Prime Factorization of 61127

Prime factors of 61127 are 11, 5557. Prime factorization of 61127 in exponential form is:

61127 = 111 × 55571

Now multiplying the highest exponent prime factors to calculate the LCM of 61122 and 61127.

LCM(61122,61127) = 21 × 31 × 611 × 1671 × 111 × 55571
LCM(61122,61127) = 3736204494