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What is the Least Common Multiple of 1552 and 1560?

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 1552 and 1560 is 302640.

LCM(1552,1560) = 302640

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Least Common Multiple of 1552 and 1560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1552 and 1560, than apply into the LCM equation.

GCF(1552,1560) = 8
LCM(1552,1560) = ( 1552 × 1560) / 8
LCM(1552,1560) = 2421120 / 8
LCM(1552,1560) = 302640

Least Common Multiple (LCM) of 1552 and 1560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1552 and 1560. First we will calculate the prime factors of 1552 and 1560.

Prime Factorization of 1552

Prime factors of 1552 are 2, 97. Prime factorization of 1552 in exponential form is:

1552 = 24 × 971

Prime Factorization of 1560

Prime factors of 1560 are 2, 3, 5, 13. Prime factorization of 1560 in exponential form is:

1560 = 23 × 31 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1552 and 1560.

LCM(1552,1560) = 24 × 971 × 31 × 51 × 131
LCM(1552,1560) = 302640